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Finding the Third Proportional to 84,401 and 184,906

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Solution

The third proportional to 84,401 and 184,906 is: 405,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,401 : 184,906 = 184,906 : x
  2. Step 2: Convert to fraction form
    84,401/184,906 = 184,906/x
  3. Step 3: Cross multiply
    84,401x = 184,906 × 184,906
  4. Step 4: Simplify right side
    84,401x = 34,190,228,836
  5. Step 5: Solve for x
    x = 34,190,228,836/84,401
  6. Step 6: Final answer
    x = 405,092.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.